chp32_3 - PHY2061 R. D. Field Vector Multiplication: Dot...

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PHY2061 R. D. Field Department of Physics chp32_3.doc University of Florida Vector Multiplication: Dot & Cross Two Vectors: Define two vectors according to r r AA xA yA z BB xB yB z xyz =++ $$ $ $ . The magnitudes of the vectors is given by r r A A A B B B == + + + + 222 Dot Product ( Scalar Product ): The dot product, S, is a scalar and is given by SA B A B A B A B A B xx yy zz =⋅= = + + rr r r cos θ Cross Product ( Vector Product ): The cross product, r C , is a vector and is given by rrr CA B A B A B x A B A B y A B A B z yz zy xz
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